9014 ÷ 7 = 1287 R5
Alright, let's work through the division of 9014 by 7 step by step.

Step 1:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 9 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 2:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 14 from 20 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 7

Step 3:
7 goes into 61 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 128
Subtract 56 from 61 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Step 4:
7 goes into 54 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 1287
Subtract 49 from 54 to get 5.

The final result is 1287 with a remainder of 5.